AnswersAlgebra IIAbsolute Value Functions

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1
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Which function has a vertex at open paren 2 comma 6 close paren ?

A
f of x is equal to 2 start absolute value x plus 2 end absolute value minus 6
B
f of x is equal to 2 start absolute value x plus 2 end absolute value plus 6
C
f of x is equal to 2 start absolute value x minus 2 end absolute value plus 6
D
f of x is equal to 2 start absolute value x minus 2 end absolute value minus 6
2
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The standard form of an absolute value function is f of x is equal to A start absolute value x minus h end absolute value plus k Which of the following represents the vertex?

A
open paren negative h comma k close paren
B
open paren h comma k close paren
C
open paren negative k comma h close paren
D
open paren k comma h close paren
3

Which function is a translation of the parent absolute value function?

A
f of x is equal to absolute value of x
B
f of x is equal to negative 4 absolute value of x
C
f of x is equal to 2 absolute value of x
D
f of x is equal to start absolute value x plus 6 end absolute value
4

What is the vertex of f of x is equal to start absolute value x plus 8 end absolute value minus 3 ?

A
open paren 8 comma negative 3 close paren
B
open paren 8 comma 3 close paren
C
open paren negative 8 comma 3 close paren
D
open paren negative 8 comma negative 3 close paren
5

What are the domain and range of f of x is equal to 2 start absolute value x minus 4 end absolute value ?

A
domain: x is greater than or equal to 2 ; range: open paren negative infinity comma infinity close paren
B
domain: x is less than or equal to 2 ; range: open paren negative infinity comma infinity close paren
C
domain: open paren negative infinity comma infinity close paren ; range: f of x is greater than or equal to 0
D
domain: open paren negative infinity comma infinity close paren ; range: f of x is less than or equal to 0
6

Which of the following is the graph of f of x is equal to negative 0 point 5 start absolute value x plus 3 end absolute value minus 2 ?

A
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 7 to 3 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing down. The vertex is at (negative 3 comma negative 2), and the function passes through (negative 5 comma negative 3) and (negative1 comma negative 3).
B
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 3 to 7 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing down. The vertex is at (3 comma 2), and the function passes through (negative 1 comma 0) and (7 comma 0).
C
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 7 to 3 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing up. The vertex is at (negative 3 comma negative 2), and the function passes through (negative 7 comma 0) and (1 comma 0).
D
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 2 to 8 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing up. The vertex is at (3 comma 2), and the function passes through (negative 1 comma 6) and (7 comma 6).
7

Which of the following is the graph of f of x is equal to absolute value of x translated 2 units right, 2 units up, and dilated by a factor of 1 third ?

A
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 3 to 7 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing up. The vertex is at (2 comma 2), and the function passes through (1 comma 5) and (3 comma 5).
B
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 3 to 7 in increments of 1. The graph represents the shifted absolute value function. The V-shaped graph is facing up. The vertex is at (negative 2 comma 2), and the function passes through (negative 5 comma 3) and (1 comma 3).
C
Image with description On a coordinate plane, the x and y axes range from negative 3 to 7 in increments of 1. The V-shaped graph opening upward has a vertex at (2 comma 2) and the graph passes through the points (negative 1 comma 3) and (5 comma 3).
D
Image with description On a coordinate plane, the x and y axes are listed from negative 3 to 7 in increments of 1. The V-shaped graph opening upward has a vertex at (2 comma negative 2) and the graph passes through the points (0 comma 4) and (4 comma 4).
9

Which of the following is the value of a when the function f of x is equal to 3 absolute value of x is written in the standard form of an absolute value function?

A
3
B
negative 1
C
negative 3
D
1
10

Which of the following is the parent function of all absolute value functions?

A
f of x is equal to 2 absolute value of x
B
f of x is equal to x squared
C
f of x is equal to 3 x
D
f of x is equal to absolute value of x

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